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Finding the Fourth Proportional to 56,680.38, 78,214.10 and 32,808.51

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Solution

The fourth proportional to 56,680.38, 78,214.10 and 32,808.51 is: 45,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680.38 : 78,214.10 = 32,808.51 : x
  2. Step 2: Convert to fraction form
    56,680.38/78,214.10 = 32,808.51/x
  3. Step 3: Cross multiply
    56,680.38x = 78,214.10 × 32,808.51
  4. Step 4: Simplify right side
    56,680.38x = 2,566,087,917.95
  5. Step 5: Solve for x
    x = 2,566,087,917.95/56,680.38
  6. Step 6: Final answer
    x = 45,272.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.